Home
Class 12
MATHS
Number of integers in the range of f(x)=...

Number of integers in the range of `f(x)=1/pi(sin^(-1)x+tan^(-1)x)+(x+1)/(x^2+2x+5)` is `0` b. `3` c. `2` d. `1`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Find the domain and range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x.

Find the range of f(x) = (sin^(-1) x)^(2) + 2pi cos^(-1) x + pi^(2)

Range of f(x) = (sin^2x + sin x -1)/(sin^2x - sin x + 2)

Find the range of f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1)

If x in [1,2], then find the range of f(x)=tan x.

Find the range of the function f(x)=(1)/(2+sin3x)

2 tan ^(-1) ""(2x)/(1-x^(2))=(pi)/(3)

Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

Range of the function : f(x)=log_2((pi+2sin^(- 1)((3-x)/7))/pi)

The number of integer x satisfying sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=pi/2 is (a) 1 (b) 2 (c) 3 (d) 4

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Which of the folllowing functions are defined for all x (A) sin[x]+ ...

    Text Solution

    |

  2. The domain of the function f(x)=log(e){sgn(9-x^(2))}+sqrt([x]^(3)-4[x]...

    Text Solution

    |

  3. Number of integers in the range of f(x)=1/pi(sin^(-1)x+tan^(-1)x)+(x+1...

    Text Solution

    |

  4. If f(x) is an invertible function and g(x)=2f(x)+5, then the value of ...

    Text Solution

    |

  5. Which of the following functions is one-one ? (1)f:R->R defined as f...

    Text Solution

    |

  6. Which of the following statements are incorrect? I. If f(x) and g(x) a...

    Text Solution

    |

  7. Let f : R^+ ->{-1, 0, 1} defined by f(x) = sgn(x-x^4 + x^7-x^8-1) wher...

    Text Solution

    |

  8. Let f(x) :R->R,f(x)={(2x+alpha^2,xge2),((alpha x)/2+10,x lt 2)) If f(...

    Text Solution

    |

  9. Let f: R-> R, be defined as f(x) = e^(x^2)+ cos x, then f is (a) one-o...

    Text Solution

    |

  10. Let A be a non- empty set of real numbers and f:A->A be such that f(f(...

    Text Solution

    |

  11. Let f:[-oo,0)->(1,oo) be defined as f(x)=(1+sqrt(-x))-(sqrt(-x)-x) the...

    Text Solution

    |

  12. Let f:R->[1,oo) be defined as f(x)=log10(sqrt(3x^2-4x+k+1)+10) If f(x)...

    Text Solution

    |

  13. Suppose f is a real function satisfying f(x+f(x))=4f(x) and f(1)=4. Th...

    Text Solution

    |

  14. Consider a differentiable function f:R->R for which f'(0)=ln2 and f(x...

    Text Solution

    |

  15. Suppose f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db are positive integ...

    Text Solution

    |

  16. The graph of a function y=g(x) is shown in the following figure. If...

    Text Solution

    |

  17. Let f={(1,1),(2,3),(0,−1),(−1,−3)} be a function from Z to Z defined b...

    Text Solution

    |

  18. Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1 +x...

    Text Solution

    |

  19. The function f(x)=sin(log(x+sqrt(1+x^2))) is (a) even function (b) odd...

    Text Solution

    |

  20. Let P(x) = x^10+ a2x^8 + a3 x^6+ a4 x^4 + a5x^2 be a polynomial with r...

    Text Solution

    |